7x7x7 V-Sculpture

Puzzle Details

A very beautifully shaped 7x7x7 modification with some interesting effects:
- The centers have four colours, which allows only one orientation.
- The edge pieces have only one colour now, decreasing the number of positions and eliminating a couple of parity issues.
Who can calculate the proper number of positions for this?

Tony created only eight puzzles of this type because of the high effort.